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Finding the Fourth Proportional to 3,147.49, 4,721.87 and 1,762.80

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Solution

The fourth proportional to 3,147.49, 4,721.87 and 1,762.80 is: 2,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.49 : 4,721.87 = 1,762.80 : x
  2. Step 2: Convert to fraction form
    3,147.49/4,721.87 = 1,762.80/x
  3. Step 3: Cross multiply
    3,147.49x = 4,721.87 × 1,762.80
  4. Step 4: Simplify right side
    3,147.49x = 8,323,680.01
  5. Step 5: Solve for x
    x = 8,323,680.01/3,147.49
  6. Step 6: Final answer
    x = 2,644.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.